Retention capacity of random surfaces

Details Retention capacity of random surfaces Retention capacity of random surfaces

2011-10-27

arxiv.org/abs/1110.6166v3

Physical Review Letters 108, 045703 (January 25, 2012)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages

Scientific paper

10.1103/PhysRevLett.108.045703

We introduce a "water retention" model for liquids captured on a random surface with open boundaries, and investigate it for both continuous and discrete surface heights 0, 1, ... n-1, on a square lattice with a square boundary. The model is found to have several intriguing features, including a non-monotonic dependence of the retention on the number of levels in the discrete case: for many n, the retention is counterintuitively greater than that of an n+1-level system. The behavior is explained using percolation theory, by mapping it to a 2-level system with variable probability. Results in 1-dimension are also found.

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